Download E-books Class Field Theory: From Theory to Practice PDF

By Georges Gras, H. Cohen

Worldwide type box idea is a tremendous success of algebraic quantity idea, according to the functorial houses of the reciprocity map and the life theorem. the writer works out the implications and the sensible use of those effects by way of giving particular stories and illustrations of classical matters (classes, ideles, ray category fields, symbols, reciprocity legislation, Hasse's ideas, the Grunwald-Wang theorem, Hilbert's towers, ...). This ebook, middleman among the classical literature released within the sixties and the hot computational literature, provides a lot fabric in an effortless method, and is acceptable for college students, researchers, and all who're eager about this thought.

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